Methods on nonlinear elliptic equations
Wenxiong Chen, Congming Li
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; andmethods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory.As a result, the book represents a blend of new methods in general computational analysis,and specific, but also generic, techniques for study of systems theory ant its particularbranches, such as optimal filtering and information compression. - Best operator approximation,- Non-Lagrange interpolation,- Generic Karhunen-Loeve transform- Generalised low-rank matrix approximation- Optimal data compression- Optimal nonlinear filtering
వర్గాలు:
సంవత్సరం:
2010
ప్రచురణకర్త:
American Institute of Mathematical Sciences
భాష:
english
పేజీల సంఖ్య:
311
ISBN 10:
1601330065
ISBN 13:
9781601330062
పుస్తక శ్రేణి:
AIMS series on differential equations & dynamical systems, v. 1
ఫైల్:
DJVU, 2.35 MB
IPFS:
,
english, 2010